{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# K-means Clustering"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Import packages\n",
    "%matplotlib inline\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import scipy.io                            # Used to load the *.mat files\n",
    "from random import sample                  # Used for random initialization\n",
    "import matplotlib.cm as cm                 # Used to display images \n",
    "import imageio                             # Used to load images"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 1: Implementing K-means"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 1.1: Finding closest centroids"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Read in data.mat (use scipy.io\n",
    "datafile = 'data/data.mat'\n",
    "X = scipy.io.loadmat(datafile)['X']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(300, 2)\n"
     ]
    }
   ],
   "source": [
    "# X is 300 points, each has two coordinates.\n",
    "print(X.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Choose the number of centroids K = 3\n",
    "K = 3\n",
    "\n",
    "# Choose the initial centroids\n",
    "initial_centroids = np.array([[3,3],[6,2],[8,5]])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Function for Visualizing the data\n",
    "def plotData(myX, mycentroids, myidxs = None):\n",
    "    \n",
    "    colors = ['b','g','gold','darkorange','salmon','olivedrab']\n",
    "    \n",
    "    assert myX[0].shape == mycentroids[0][0].shape\n",
    "    assert mycentroids[-1].shape[0] <= len(colors)\n",
    "\n",
    "    if myidxs is not None:\n",
    "        assert myidxs.shape[0] == myX.shape[0]\n",
    "        subX = []\n",
    "        for x in range(mycentroids[0].shape[0]):\n",
    "            subX.append(np.array([myX[i] for i in range(myX.shape[0]) if myidxs[i] == x]))\n",
    "    else:\n",
    "        subX = [myX]\n",
    "        \n",
    "    fig = plt.figure(figsize=(7,5))\n",
    "    for x in range(len(subX)):\n",
    "        newX = subX[x]\n",
    "        plt.plot(newX[:,0],newX[:,1],'o',color=colors[x],\n",
    "                 alpha=0.75, label='Data Points: Cluster %d'%x)\n",
    "    plt.xlabel('x1',fontsize=14)\n",
    "    plt.ylabel('x2',fontsize=14)\n",
    "    plt.title('Plot of X Points',fontsize=16)\n",
    "    plt.grid(True)\n",
    "\n",
    "    #Drawing a history of centroid movement\n",
    "    tempx, tempy = [], []\n",
    "    for mycentroid in mycentroids:\n",
    "        tempx.append(mycentroid[:,0])\n",
    "        tempy.append(mycentroid[:,1])\n",
    "    \n",
    "    for x in range(len(tempx[0])):\n",
    "        plt.plot(tempx, tempy, 'rx--', markersize=8)\n",
    "\n",
    "    leg = plt.legend(loc=4, framealpha=0.5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 504x360 with 1 Axes>",
      "image/png": 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\n"
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plotData(X, [initial_centroids])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 计算两点之间距离的平方\n",
    "def distSquared(point1, point2):\n",
    "    return np.sum(np.square(point2-point1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "def findClosestCentroids(myX, mycentroids):\n",
    "    \"\"\"\n",
    "    myX is a (m,n) matrix, where m is the # of points, n is # of features per point.\n",
    "    mycentroids is a (K,n) centroid seed matrix, where K is the # of centroids (clusters).\n",
    "    The function returns a (m,1) vector of cluster indices for each point in X (0 through K-1).\n",
    "    \"\"\"\n",
    "    idxs = np.zeros((myX.shape[0],1))\n",
    "    \n",
    "    # Loop through each data point in X\n",
    "    for x in range(idxs.shape[0]):\n",
    "        # Return the index of the nearest centroid for each point\n",
    "        dist2centroids = []\n",
    "        for k in range(mycentroids.shape[0]):\n",
    "            dist2centroids.append(distSquared(myX[x], mycentroids[k]))\n",
    "        dist2centroids = np.array(dist2centroids)\n",
    "        idxs[x] = dist2centroids.argmin()\n",
    "        \n",
    "    return idxs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 504x360 with 1 Axes>",
      "image/png": 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\n"
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Assign X to initial centroids\n",
    "idxs = findClosestCentroids(X, initial_centroids)\n",
    "plotData(X,[initial_centroids],idxs)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 1.2: Computing centroid means"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "def computeCentroids(myX, myidxs, K):\n",
    "    \"\"\"\n",
    "    myX is a (m,n) matrix, where m is the # of points, n is # of features per point.\n",
    "    myidxs is a (m,1) matrix, represents the cluster indexes for each point.\n",
    "    The function returns a new (K,n) centroid matrix which is the mean value of each cluster.\n",
    "    \"\"\"\n",
    "    centroid = np.zeros((K, myX.shape[1]))\n",
    "    for x in range(K):\n",
    "        tmp = np.where(myidxs == x)[0]\n",
    "        for i in range(tmp.size):\n",
    "            centroid[x] += myX[tmp[i]]\n",
    "        centroid[x] /= tmp.size\n",
    "    return centroid"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 2: K-means on example dataset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "def runKMeans(myX, initial_centroids, K, n_iter):\n",
    "    \"\"\"\n",
    "    Function that actually does the iterations.\n",
    "    \"\"\"\n",
    "    centroid_history = []\n",
    "    current_centroids = initial_centroids\n",
    "    for myiter in range(n_iter):\n",
    "        centroid_history.append(current_centroids) # Save the history of current centroids\n",
    "        idxs = findClosestCentroids(myX, current_centroids) # Update the nearest centroids for each point\n",
    "        current_centroids = computeCentroids(myX, idxs, K=K) # Update the centroids\n",
    "        \n",
    "    return idxs, centroid_history"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Run KMeans with K = 3, n_iter = 10\n",
    "idxs, centroid_history = runKMeans(X, initial_centroids, K, n_iter=10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 504x360 with 1 Axes>",
      "image/png": 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\n"
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plotData(X, centroid_history, idxs)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 3: Random initialization"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Randomly sample K initial centroids\n",
    "def chooseKRandomCentroids(myX, K):\n",
    "    rand_indices = sample(range(0,myX.shape[0]),K)\n",
    "    return np.array([myX[i] for i in rand_indices])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 504x360 with 1 Axes>",
      "image/png": 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\n"
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": "<Figure size 504x360 with 1 Axes>",
      "image/png": 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\n"
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": "<Figure size 504x360 with 1 Axes>",
      "image/png": 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\n"
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Let's choose 3 set of random initial centroids and see the resulting \n",
    "for x in range(3):\n",
    "    idxs, centroid_history = runKMeans(X, chooseKRandomCentroids(X, 3),\n",
    "                                       K=3, n_iter=10)\n",
    "    plotData(X, centroid_history, idxs)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 4: Image compression with K-means"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 4.1: K-means on pixels"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "A shape is  (128, 128, 3)\n"
     ]
    }
   ],
   "source": [
    "# It reads a three-dimensional matrix A whose first two indices are pixel positions and last index represents red, green, or blue.\n",
    "datafile = 'data/bird_small.png'\n",
    "A = imageio.imread(datafile)\n",
    "print(\"A shape is \",A.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
      "image/png": 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\n"
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "dummy = plt.imshow(A)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Divide every entry in A by 255 so all values are in the range of 0 to 1\n",
    "A = A/255.\n",
    "\n",
    "# Unroll the image to shape (16384,3) (16384 is 128*128)\n",
    "A = A.reshape(-1, 3)\n",
    "\n",
    "# Run k-means on this data, forming 16 clusters, with random initialization\n",
    "myK = 16\n",
    "idxs, centroid_history = runKMeans(A, chooseKRandomCentroids(A, myK), K=myK, n_iter=10) # Use runKMeans"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Now I have 16 centroids, each representing a color.\n",
    "# Let's assign an index to each pixel in the original image dictating which of the 16 colors it should be.\n",
    "# Loop through the original image and form a new image that only has 16 colors in it (Let the color of each pixel be the color of its centroids).\n",
    "final_centroids = centroid_history[-1]\n",
    "final_image = np.zeros((128 ** 2, 3)) # Initialize with zeros\n",
    "for x in range(final_image.shape[0]):\n",
    "    final_image[x] = final_centroids[int(idxs[x])]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
      "image/png": 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\n"
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
      "image/png": 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\n"
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot and compare the compressed image with the original one\n",
    "plt.figure()\n",
    "dummy = plt.imshow(A.reshape(128,128,3))\n",
    "plt.figure()\n",
    "dummy = plt.imshow(final_image.reshape(128,128,3))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.8"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}